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101223113303 = 1337626333601
BaseRepresentation
bin101111001000101011…
…1100010001001010111
3100200021102010221021102
41132101113202021113
53124301104111203
6114300134340315
710212255160334
oct1362127421127
9320242127242
10101223113303
1139a23899244
121774b4ba69b
139712037420
144c8368998b
1529767dd888
hex17915e2257

101223113303 has 16 divisors (see below), whose sum is σ = 111976917696. Its totient is φ = 90894182400.

The previous prime is 101223113297. The next prime is 101223113323. The reversal of 101223113303 is 303311322101.

It is a cyclic number.

It is not a de Polignac number, because 101223113303 - 218 = 101222851159 is a prime.

It is a super-2 number, since 2×1012231133032 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223113323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2995703 + ... + 3029303.

It is an arithmetic number, because the mean of its divisors is an integer number (6998557356).

Almost surely, 2101223113303 is an apocalyptic number.

101223113303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101223113303 is a deficient number, since it is larger than the sum of its proper divisors (10753804393).

101223113303 is a wasteful number, since it uses less digits than its factorization.

101223113303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39914.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101223113303 its reverse (303311322101), we get a palindrome (404534435404).

The spelling of 101223113303 in words is "one hundred one billion, two hundred twenty-three million, one hundred thirteen thousand, three hundred three".

Divisors: 1 13 37 481 6263 33601 81419 231731 436813 1243237 3012503 16162081 210443063 2735759819 7786393331 101223113303